On real hypersurfaces of a complex projective space
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This article is published in Journal of The Mathematical Society of Japan.The article was published on 1976-07-01 and is currently open access. It has received 206 citations till now. The article focuses on the topics: Complex projective space & Quaternionic projective space.read more
Citations
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Journal ArticleDOI
Focal sets and real hypersurfaces in complex projective space
Thomas E. Cecil,Patrick J. Ryan +1 more
TL;DR: In this paper, the location of the focal points of a real submanifold is defined in terms of its second fundamental form, and the rank of a focal map onto a sheet of focal points corresponding to a principal curvature is computed using the Codazzi equation.
Journal ArticleDOI
Real hypersurfaces and complex submanifolds in complex projective space
TL;DR: In this paper, it was shown that a complex submanifold with constant principal curvatures is an open subset of a homogeneous hypersurface if and only if it has constant curvatures and Jt is principal.
Book ChapterDOI
Real Hypersurfaces in Complex Space Forms
Thomas E. Cecil,Patrick J. Ryan +1 more
TL;DR: The study of real hypersurfaces in complex projective space CP n and complex hyperbolic space CH n began at approximately the same time as Munzner's work on isoparametric hypersurface in spheres as discussed by the authors.
Journal ArticleDOI
Real hypersurfaces of a complex hyperbolic space
Journal ArticleDOI
On some real hypersurfaces of a complex hyperbolic space
Sebastián Montiel,Alfonso Romero +1 more
TL;DR: In this paper, a real hypersurface of a complex hyperbolic space #x2102 was constructed and a principal circle bundle over it was constructed, which is a Lorentzian hypergraph of the anti-De Sitter space H12n+1.
References
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Journal ArticleDOI
Real hypersurfaces in a complex projective space with constant principal curvatures II
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On Fubinian and $C$-Fubinian manifolds
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Rigidity theorems in rank-1 symmetric spaces
Related Papers (5)
Focal sets and real hypersurfaces in complex projective space
Thomas E. Cecil,Patrick J. Ryan +1 more